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A horse and cow were sold for \$540, making a profit of 25% on the

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General GMAT Forum Moderator
Joined: 15 Jan 2018
Posts: 609
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
A horse and cow were sold for \$540, making a profit of 25% on the  [#permalink]

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30 Mar 2019, 23:30
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Difficulty:

45% (medium)

Question Stats:

50% (02:52) correct 50% (03:15) wrong based on 8 sessions

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A horse and cow were sold for \$540, making a profit of 25% on the horse and 20% on the cow. By selling for \$538, the profit would be 20% on the horse and 25% on the cow. Find the cost of the horse.

A. \$160
B. \$240
C. \$200
D. \$320
E. \$140

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A horse and cow were sold for \$540, making a profit of 25% on the  [#permalink]

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30 Mar 2019, 23:54
1
DisciplinedPrep wrote:
A horse and cow were sold for \$540, making a profit of 25% on the horse and 20% on the cow. By selling for \$538, the profit would be 20% on the horse and 25% on the cow. Find the cost of the horse.

A. \$160
B. \$240
C. \$200
D. \$320
E. \$140

let price of horse ; 125x and cow 120y
125x+120y=540--(1)
and other eqn 120x+125y=538--(2)
solve for eqn 1 & 2
we get x= 2.4
so price of horse ; 100*2.4 ; 240 IMO B

solving linearly is a little tedious.. if anyone has some alternate solution please share
A horse and cow were sold for \$540, making a profit of 25% on the   [#permalink] 30 Mar 2019, 23:54
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